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what is the difference between synchronous and asynchronous motor?

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Answer :

rotor which rotates in synchronous (in same time) with stator magnetic field is called synchronous motor.

rotor which not rotate in synchronous (in same time) with stator magnetic field is called asynchronous motor like Induction motor.
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Answer :

Asynchronous motors and syncrouns motor are called as dc machines.  and also syncrouns motor called as induction motor. Asynonymous motor as are rotates with constant speed we not able to operate .syncrouns motors are rotates with it speeding levels. It is able to operate. These are a small difference between syncrouns and asynchronous motors. 
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